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Evaluate \(\frac{27^\frac{1}{3} - 8^\frac{2}{3}}{16^\frac{2}{4} \times 2}\)

Mathematics
JAMB 2016

Evaluate \(\frac{27^\frac{1}{3} - 8^\frac{2}{3}}{16^\frac{2}{4} \times 2}\)

  • A. \(\frac{23}{5}\)
  • B. -\(\frac{23}{5}\)
  • C. -\(\frac{1}{8}\)
  • D. \(\frac{21}{7}\)
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Correct Answer: Option C
Explanation

\(\frac{27^\frac{1}{3} - 8^\frac{2}{3}}{16^\frac{2}{4} \times 2}\)

\(\frac{27^\frac{1}{3} - 8^\frac{2}{3}}{16^\frac{2}{4} \times 2}\) = \(\frac{3\sqrt{27} - 3\sqrt{8}^2}{\sqrt{16} \times 2}\)

\(\frac{3 - 4}{4 \times 2}\)
= \(\frac{-1}{8}\)

There is an explanation video available below.


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